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Simplifying -3(v + 7) = 2v + 9 Reorder the terms: -3(7 + v) = 2v + 9 (7 * -3 + v * -3) = 2v + 9 (-21 + -3v) = 2v + 9 Reorder the terms: -21 + -3v = 9 + 2v Solving -21 + -3v = 9 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -21 + -3v + -2v = 9 + 2v + -2v Combine like terms: -3v + -2v = -5v -21 + -5v = 9 + 2v + -2v Combine like terms: 2v + -2v = 0 -21 + -5v = 9 + 0 -21 + -5v = 9 Add '21' to each side of the equation. -21 + 21 + -5v = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -5v = 9 + 21 -5v = 9 + 21 Combine like terms: 9 + 21 = 30 -5v = 30 Divide each side by '-5'. v = -6 Simplifying v = -6
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